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Finding the Third Proportional to 74,486 and 170,175

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Solution

The third proportional to 74,486 and 170,175 is: 388,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,486 : 170,175 = 170,175 : x
  2. Step 2: Convert to fraction form
    74,486/170,175 = 170,175/x
  3. Step 3: Cross multiply
    74,486x = 170,175 × 170,175
  4. Step 4: Simplify right side
    74,486x = 28,959,530,625
  5. Step 5: Solve for x
    x = 28,959,530,625/74,486
  6. Step 6: Final answer
    x = 388,791.59

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.